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Finding the Fourth Proportional to 10,375.33, 14,315.92 and 5,898.31

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Solution

The fourth proportional to 10,375.33, 14,315.92 and 5,898.31 is: 8,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.33 : 14,315.92 = 5,898.31 : x
  2. Step 2: Convert to fraction form
    10,375.33/14,315.92 = 5,898.31/x
  3. Step 3: Cross multiply
    10,375.33x = 14,315.92 × 5,898.31
  4. Step 4: Simplify right side
    10,375.33x = 84,439,734.10
  5. Step 5: Solve for x
    x = 84,439,734.10/10,375.33
  6. Step 6: Final answer
    x = 8,138.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.